Second order Opial inequalities in \({\mathcal L}^p\) spaces and applications (Q2708928)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Second order Opial inequalities in \({\mathcal L}^p\) spaces and applications |
scientific article |
Statements
25 February 2002
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Opial-type inequality
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disconjugacy
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fourth-order differential equations
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Second order Opial inequalities in \({\mathcal L}^p\) spaces and applications (English)
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In the present paper the authors have determined the best constant and extremals of a second order Opial-type inequality in \(L^p\) spaces under zero boundary conditions. Further , for \(p=2\) they have investigated other boundary conditions as well. Applications to the determination of lower bounds for the disconjugacy for fourth-order differential equations are also given.NEWLINENEWLINEFor the entire collection see [Zbl 0947.00027].
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